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Finding the Third Proportional to 492,724 and 686,489

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Solution

The third proportional to 492,724 and 686,489 is: 956,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,724 : 686,489 = 686,489 : x
  2. Step 2: Convert to fraction form
    492,724/686,489 = 686,489/x
  3. Step 3: Cross multiply
    492,724x = 686,489 × 686,489
  4. Step 4: Simplify right side
    492,724x = 471,267,147,121
  5. Step 5: Solve for x
    x = 471,267,147,121/492,724
  6. Step 6: Final answer
    x = 956,452.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.